ONR YIP: Quantum Analysis on Transient Dynamics of Distributed Renewable Energy Systems

Overview: The high penetration of distributed energy resources (DERs) significantly reduces the power system's inertia due to the wi,despread integration of power-electronic interfaces. The sys-tem is sensitive to disturbances, causing severe transient dynamics; an,d thus highly affecting the development of modern power systems towards energy resilience. To study and control the tran-sient dynam,ics of nonlinear high-dimensional DER dominant power grids, there is a fundamental trade-off between the computational efficiency an,d modeling accuracy or data volume. To bridge the gap, quantum technique is proposed, which concerns the utilization of quantum mech,anics to improve the efficiency of computation. This project aims to develop quantum algorithms for computing the nonlinear high-dim,ensional system's transient stability much faster than classical algorithms and to devise efficient optimal control methods by lever,aging quantum computing for controlling transient dynamics, with the following three technical objectives:-To transform renewable en,ergy systems' nonlinear dynamical model into the linear space with the systems' global nonlinearity preserved.The nonlinear system w,ill be transformed to a linear model via Koopman operator-theoretic approach. It will address the key issue of developing quantum al,gorithms for nonlinear systems,i.e., representing the system's nonlinearity by using eigenfunctions in a large Hilbert space. This s,tudy will lay the foundation of developing quantum algorithms for nonlinear systems and result in mathematical methods and publicati,ons that bridge the gap between the fields of power systems and quantum computing.-To develop quantum algorithms for efficiently com,puting the transient dynamics of high-dimensional power systems to avoid 'The Curse of Dimensionality.'Explicit and implicit quantum, numerical integration algorithms will be developed, which will run in quantum simulators and actual quantum computers. Assembling w,ith the Harrow-Hassidim-Lloyd (HHL) algorithm, the transient stability of nonlinear high-dimensional power systems can be efficientl,y calculated. This study will result in quantum algorithms and publications that significantly advance the power and quantum fields.,-To enhance the transient stability of nonlinear power systems through data-driven optimal control based on quantum computing for pr,omoting the system's dynamic resilience. Koopman operator-enabled model predictive control method will be developed to forecast the,transient dynamics of nonlinear renewable energy systems. A quantum solution will then be devised based on Quantum Approximate Optim,ization Algorithm (QAOA) to improve the tran-sient stability in a predictive manner. This study will result in quantum-enabled optim,al control method and publications that control transient dynamics for enhancing resilience.The success of this project will provide, an unprecedented quantum solution to enhance the transient stability, so Navy's ability toavoid energy disruptions can be significa,ntly improved to ensure energy availability and reliability sufficient to provide for mission assurance and readiness. The project w,ill lead to revolutionary advances in power system analysis and control and stimulate new developments of quantum information scienc,e to advance the frontier of quantum field.This project abstract is approved for public release.